On a boundary analog of the Forelli theorem

Autor:	Vyacheslav I. Kuzovatov, Alexander M. Kytmanov
Rok vydání:	2013
Předmět:	Discrete mathematics General Mathematics Superfunction Domain of holomorphy Holomorphic function Analyticity of holomorphic functions Open mapping theorem (complex analysis) Identity theorem Cauchy's integral formula Removable singularity Mathematics
Zdroj:	Siberian Mathematical Journal. 54:841-856
ISSN:	1573-9260 0037-4466
DOI:	10.1134/s0037446613050091
Popis:	A boundary analog of the Forelli theorem for real-analytic functions is established, i.e., it is demonstrated that each real-analytic function f defined on the boundary of a bounded strictly convex domain D in the multidimensional complex space with the one-dimensional holomorphic extension property along families of complex lines passing through a boundary point and intersecting D admits a holomorphic extension to D as a function of many complex variables.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b9d92fb89c7badf82481dce716bced7c https://doi.org/10.1134/s0037446613050091 Zobrazit plný text záznamu Plný text ve formátu PDF